A NEW IMPLICIT SOLUTION PROCEDURE FOR MULTIDIMENSIONAL FINITE-DIFFERENCE MODELING OF THE STEFAN PROBLEM
- 1 January 1985
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer
- Vol. 8 (5) , 559-571
- https://doi.org/10.1080/01495728508961872
Abstract
A new procedure is presented for multidimensional modeling of the energy transport by conduction in problems involving solid-liquid phase transition. The method is formulated as an enthalpy model, with a fully simultaneous equation formulation made possible by a novel nonlinear iteration algorithm. This algorithm, based on the problem physics, is easily implemented. The procedure has been tested on a number of two-dimensional test cases, and comparisons of computational cost with the con-ventional nonsimuttaneous procedure have been made for a variety of boundary conditions, Stefan numbers, and time step sizes. The results demonstrate that in practical problems the new procedure is faster by a factor in excess of two orders of magnitude.Keywords
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